Answer:
Reference angle is 45°
[tex]sin(-2205^{\circ})=-0.707[/tex]
[tex]cos(-2205^{\circ})=0.707[/tex]
Step-by-step explanation:
We have given as [tex]cos(-2205^{\circ})[/tex]
Which can be written as [tex]cos(-2205^{\circ})=cos(-12\pi -45^{\circ})[/tex]
Here angle is [tex]-45^{\circ}[/tex] which is equal to 315°
We know that 315° lies in forth quadrant
And in forth quadrant reference angle is given by [tex]360-angle[/tex]
So reference angle will be [tex]360-315=45^{\circ}[/tex]
Now [tex]cos(-2205^{\circ})=cos(-12\pi -45^{\circ})=cos(45)=0.707[/tex]
[tex]sin(-2205^{\circ})=sin(-12\pi -45^{\circ})=-sin(45)=-0.707[/tex]
